Nash equilibrium: each player is making the optimal choice, given the other players´ choice.
Sounds to me like it would be possible, not extremely likely, but possible, as long as the peoples optimal profits perfectly aligned with what the other party wanted to do. But that is just off of the top of my head. It has been 10 years since I had Micro...
Well, on my e-mail to my professor I asked:
"So if there is profitable deviation in the profile then it can't be Nash Equilibria?"
He responded by adding "unilateral" between profitable and deviation and then typed exactly after my question.
This would lead me to believe then that if both players had profitable deviation as opposed to unilateral, then Nash Equilibria is present in the profile.